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Article
Differentiability of type-2 fuzzy number-valued functions
Communications in Nonlinear Science and Numerical Simulation (2014)
  • Mehran Mazandarani
  • Marzieh Najariyan
Abstract

In this paper, we define a differentiability of the type-2 fuzzy number-valued functions. The definition is based on type-2 Hukuhara difference which is defined in the paper as well. The related theorem of the differentiability of the type-2 fuzzy number-valued functions is derived. In addition, a parametric closed form of the perfect triangular quasi type-2 fuzzy numbers is introduced, and finally, the applicability and an approach to solving type-2 fuzzy differential equations are illustrated using some examples and cases.

Keywords
  • Type-2 fuzzy sets,
  • Type-2 Hukuhara difference,
  • Type-2 fuzzy differential equations,
  • Quasi type-2 fuzzy numbers,
  • Perfect type-2 fuzzy numbers,
  • H2-differentiability.
Publication Date
Spring March 1, 2014
Citation Information
Mehran Mazandarani and Marzieh Najariyan. "Differentiability of type-2 fuzzy number-valued functions" Communications in Nonlinear Science and Numerical Simulation Vol. 19 Iss. 3 (2014)
Available at: http://works.bepress.com/mehran_mazandarani/4/